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12443200434 = 23272191136571
BaseRepresentation
bin10111001011010110…
…00010101110110010
31012010012002002001100
423211223002232302
5200440424403214
65414420545230
7620232313200
oct134553025662
935105062040
1012443200434
115305953725
1224b3252216
131233c205c2
1486082a070
154cc619309
hex2e5ac2bb2

12443200434 has 144 divisors (see below), whose sum is σ = 33309787680. Its totient is φ = 3337770240.

The previous prime is 12443200423. The next prime is 12443200463. The reversal of 12443200434 is 43400234421.

It is a happy number.

12443200434 is a `hidden beast` number, since 1 + 24 + 4 + 3 + 200 + 434 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12443200398 and 12443200407.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1890369 + ... + 1896939.

It is an arithmetic number, because the mean of its divisors is an integer number (231317970).

Almost surely, 212443200434 is an apocalyptic number.

12443200434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12443200434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16654893840).

12443200434 is an abundant number, since it is smaller than the sum of its proper divisors (20866587246).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12443200434 is a wasteful number, since it uses less digits than its factorization.

12443200434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6725 (or 6715 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 12443200434 its reverse (43400234421), we get a palindrome (55843434855).

The spelling of 12443200434 in words is "twelve billion, four hundred forty-three million, two hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 113 114 126 133 147 171 226 266 294 339 342 399 441 678 791 798 882 931 1017 1197 1582 1862 2034 2147 2373 2394 2793 4294 4746 5537 5586 6441 6571 7119 8379 11074 12882 13142 14238 15029 16611 16758 19323 19713 30058 33222 38646 39426 45087 45997 49833 59139 90174 91994 99666 105203 118278 124849 135261 137991 210406 249698 270522 275982 315609 321979 374547 413973 631218 643958 742523 749094 827946 873943 946827 965937 1123641 1485046 1747886 1893654 1931874 2227569 2247282 2621829 2897811 4455138 5197661 5243658 5795622 6117601 6682707 7865487 10395322 12235202 13365414 14107937 15592983 15730974 18352803 28215874 31185966 36383627 36705606 42323811 46778949 55058409 72767254 84647622 93557898 98755559 109150881 110116818 126971433 197511118 218301762 253942866 296266677 327452643 592533354 654905286 691288913 888800031 1382577826 1777600062 2073866739 4147733478 6221600217 12443200434